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Finding the Fourth Proportional to 5,416.64, 8,123.79 and 3,163.67

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Solution

The fourth proportional to 5,416.64, 8,123.79 and 3,163.67 is: 4,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.64 : 8,123.79 = 3,163.67 : x
  2. Step 2: Convert to fraction form
    5,416.64/8,123.79 = 3,163.67/x
  3. Step 3: Cross multiply
    5,416.64x = 8,123.79 × 3,163.67
  4. Step 4: Simplify right side
    5,416.64x = 25,700,950.09
  5. Step 5: Solve for x
    x = 25,700,950.09/5,416.64
  6. Step 6: Final answer
    x = 4,744.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.